Multiplicity of Solution for a Quasilinear Equation with Singular Nonlinearity

Kaushik Bal, Prashanta Garain

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


For an open, bounded domain Ω in RN which is strictly convex with smooth boundary, we show that there exists a Λ > 0 such that for 0 < λ< Λ , the quasilinear singular problem -Δpu=λu-δ+uqinΩu=0on∂Ω;u>0inΩadmits at least two distinct solutions u and v in Wloc1,p(Ω)∩L∞(Ω) provided δ≥ 1 , 2N+2N+2<p<N and p-1<q<NpN-p-1.

Original languageEnglish
Article number91
JournalMediterranean Journal of Mathematics
Issue number3
StatePublished - 1 Jun 2020
Externally publishedYes


  • Quasilinear problem
  • a priori estimates
  • singular nonlinearity
  • topological degree

ASJC Scopus subject areas

  • Mathematics (all)


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